TSTP Solution File: SWC025+1 by Beagle---0.9.51
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- Process Solution
%------------------------------------------------------------------------------
% File : Beagle---0.9.51
% Problem : SWC025+1 : TPTP v8.1.2. Released v2.4.0.
% Transfm : none
% Format : tptp:raw
% Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% Computer : n025.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Aug 22 11:00:49 EDT 2023
% Result : Theorem 9.94s 3.26s
% Output : CNFRefutation 10.18s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 83
% Syntax : Number of formulae : 156 ( 26 unt; 75 typ; 0 def)
% Number of atoms : 187 ( 88 equ)
% Maximal formula atoms : 16 ( 2 avg)
% Number of connectives : 171 ( 65 ~; 81 |; 6 &)
% ( 1 <=>; 18 =>; 0 <=; 0 <~>)
% Maximal formula depth : 19 ( 3 avg)
% Maximal term depth : 3 ( 1 avg)
% Number of types : 2 ( 0 usr)
% Number of type conns : 85 ( 68 >; 17 *; 0 +; 0 <<)
% Number of predicates : 21 ( 19 usr; 1 prp; 0-2 aty)
% Number of functors : 56 ( 56 usr; 7 con; 0-2 aty)
% Number of variables : 39 (; 36 !; 3 ?; 0 :)
% Comments :
%------------------------------------------------------------------------------
%$ segmentP > rearsegP > neq > memberP > lt > leq > gt > geq > frontsegP > totalorderedP > totalorderP > strictorderedP > strictorderP > ssList > ssItem > singletonP > equalelemsP > duplicatefreeP > cyclefreeP > cons > app > #nlpp > tl > hd > nil > #skF_36 > #skF_25 > #skF_5 > #skF_44 > #skF_21 > #skF_16 > #skF_6 > #skF_49 > #skF_18 > #skF_24 > #skF_35 > #skF_19 > #skF_31 > #skF_22 > #skF_37 > #skF_40 > #skF_48 > #skF_3 > #skF_34 > #skF_29 > #skF_15 > #skF_32 > #skF_51 > #skF_28 > #skF_10 > #skF_41 > #skF_2 > #skF_38 > #skF_43 > #skF_1 > #skF_8 > #skF_39 > #skF_23 > #skF_33 > #skF_26 > #skF_50 > #skF_13 > #skF_17 > #skF_11 > #skF_14 > #skF_27 > #skF_12 > #skF_7 > #skF_46 > #skF_42 > #skF_45 > #skF_9 > #skF_30 > #skF_4 > #skF_20 > #skF_47
%Foreground sorts:
%Background operators:
%Foreground operators:
tff('#skF_36',type,
'#skF_36': $i > $i ).
tff(segmentP,type,
segmentP: ( $i * $i ) > $o ).
tff('#skF_25',type,
'#skF_25': $i > $i ).
tff(totalorderedP,type,
totalorderedP: $i > $o ).
tff('#skF_5',type,
'#skF_5': $i > $i ).
tff(equalelemsP,type,
equalelemsP: $i > $o ).
tff('#skF_44',type,
'#skF_44': $i > $i ).
tff('#skF_21',type,
'#skF_21': $i > $i ).
tff('#skF_16',type,
'#skF_16': $i > $i ).
tff('#skF_6',type,
'#skF_6': ( $i * $i ) > $i ).
tff('#skF_49',type,
'#skF_49': $i ).
tff('#skF_18',type,
'#skF_18': $i > $i ).
tff('#skF_24',type,
'#skF_24': $i > $i ).
tff('#skF_35',type,
'#skF_35': $i > $i ).
tff(singletonP,type,
singletonP: $i > $o ).
tff('#skF_19',type,
'#skF_19': $i > $i ).
tff('#skF_31',type,
'#skF_31': $i > $i ).
tff('#skF_22',type,
'#skF_22': $i > $i ).
tff(frontsegP,type,
frontsegP: ( $i * $i ) > $o ).
tff('#skF_37',type,
'#skF_37': $i > $i ).
tff(totalorderP,type,
totalorderP: $i > $o ).
tff(ssItem,type,
ssItem: $i > $o ).
tff('#skF_40',type,
'#skF_40': $i > $i ).
tff('#skF_48',type,
'#skF_48': $i ).
tff('#skF_3',type,
'#skF_3': ( $i * $i ) > $i ).
tff('#skF_34',type,
'#skF_34': $i > $i ).
tff('#skF_29',type,
'#skF_29': $i > $i ).
tff('#skF_15',type,
'#skF_15': $i > $i ).
tff('#skF_32',type,
'#skF_32': $i > $i ).
tff('#skF_51',type,
'#skF_51': $i ).
tff('#skF_28',type,
'#skF_28': $i > $i ).
tff('#skF_10',type,
'#skF_10': $i > $i ).
tff('#skF_41',type,
'#skF_41': $i > $i ).
tff('#skF_2',type,
'#skF_2': $i ).
tff('#skF_38',type,
'#skF_38': $i > $i ).
tff('#skF_43',type,
'#skF_43': $i > $i ).
tff(hd,type,
hd: $i > $i ).
tff(app,type,
app: ( $i * $i ) > $i ).
tff('#skF_1',type,
'#skF_1': $i ).
tff('#skF_8',type,
'#skF_8': ( $i * $i ) > $i ).
tff(duplicatefreeP,type,
duplicatefreeP: $i > $o ).
tff(gt,type,
gt: ( $i * $i ) > $o ).
tff('#skF_39',type,
'#skF_39': $i > $i ).
tff('#skF_23',type,
'#skF_23': $i > $i ).
tff(rearsegP,type,
rearsegP: ( $i * $i ) > $o ).
tff('#skF_33',type,
'#skF_33': $i > $i ).
tff(memberP,type,
memberP: ( $i * $i ) > $o ).
tff('#skF_26',type,
'#skF_26': $i > $i ).
tff('#skF_50',type,
'#skF_50': $i ).
tff('#skF_13',type,
'#skF_13': $i > $i ).
tff(ssList,type,
ssList: $i > $o ).
tff(cons,type,
cons: ( $i * $i ) > $i ).
tff(strictorderP,type,
strictorderP: $i > $o ).
tff('#skF_17',type,
'#skF_17': $i > $i ).
tff(geq,type,
geq: ( $i * $i ) > $o ).
tff('#skF_11',type,
'#skF_11': $i > $i ).
tff(leq,type,
leq: ( $i * $i ) > $o ).
tff('#skF_14',type,
'#skF_14': $i > $i ).
tff(lt,type,
lt: ( $i * $i ) > $o ).
tff(tl,type,
tl: $i > $i ).
tff(neq,type,
neq: ( $i * $i ) > $o ).
tff('#skF_27',type,
'#skF_27': $i > $i ).
tff('#skF_12',type,
'#skF_12': $i > $i ).
tff('#skF_7',type,
'#skF_7': ( $i * $i ) > $i ).
tff('#skF_46',type,
'#skF_46': $i > $i ).
tff(nil,type,
nil: $i ).
tff('#skF_42',type,
'#skF_42': $i > $i ).
tff('#skF_45',type,
'#skF_45': $i > $i ).
tff('#skF_9',type,
'#skF_9': ( $i * $i ) > $i ).
tff(strictorderedP,type,
strictorderedP: $i > $o ).
tff('#skF_30',type,
'#skF_30': $i > $i ).
tff('#skF_4',type,
'#skF_4': ( $i * $i ) > $i ).
tff('#skF_20',type,
'#skF_20': $i > $i ).
tff(cyclefreeP,type,
cyclefreeP: $i > $o ).
tff('#skF_47',type,
'#skF_47': $i > $i ).
tff(f_1020,negated_conjecture,
~ ! [U] :
( ssList(U)
=> ! [V] :
( ssList(V)
=> ! [W] :
( ssList(W)
=> ! [X] :
( ssList(X)
=> ( ( V != X )
| ( U != W )
| ~ duplicatefreeP(W)
| ? [Y] :
( ssItem(Y)
& ( ( ~ memberP(X,Y)
& memberP(W,Y) )
| ( ~ memberP(W,Y)
& memberP(X,Y) ) ) )
| ( ( ( nil != V )
| ( nil = U ) )
& ( ( nil != U )
| ( nil = V ) ) ) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
tff(f_769,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ? [V] :
( ssItem(V)
& ( hd(U) = V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax75) ).
tff(f_371,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ssItem(hd(U)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax22) ).
tff(f_779,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ? [V] :
( ssList(V)
& ( tl(U) = V ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax76) ).
tff(f_385,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ssList(tl(U)) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax24) ).
tff(f_803,axiom,
! [U] :
( ssList(U)
=> ( ( nil != U )
=> ( cons(hd(U),tl(U)) = U ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax78) ).
tff(f_512,axiom,
! [U] :
( ssItem(U)
=> ! [V] :
( ssItem(V)
=> ! [W] :
( ssList(W)
=> ( memberP(cons(V,W),U)
<=> ( ( U = V )
| memberP(W,U) ) ) ) ) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax37) ).
tff(f_517,axiom,
! [U] :
( ssItem(U)
=> ~ memberP(nil,U) ),
file('/export/starexec/sandbox2/benchmark/Axioms/SWC001+0.ax',ax38) ).
tff(c_386,plain,
'#skF_48' = '#skF_50',
inference(cnfTransformation,[status(thm)],[f_1020]) ).
tff(c_388,plain,
'#skF_49' = '#skF_51',
inference(cnfTransformation,[status(thm)],[f_1020]) ).
tff(c_404,plain,
( ( nil = '#skF_49' )
| ( nil = '#skF_48' ) ),
inference(cnfTransformation,[status(thm)],[f_1020]) ).
tff(c_410,plain,
( ( nil = '#skF_51' )
| ( nil = '#skF_48' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_404]) ).
tff(c_414,plain,
( ( nil = '#skF_51' )
| ( nil = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_410]) ).
tff(c_425,plain,
nil = '#skF_50',
inference(splitLeft,[status(thm)],[c_414]) ).
tff(c_398,plain,
( ( nil != '#skF_48' )
| ( nil != '#skF_49' ) ),
inference(cnfTransformation,[status(thm)],[f_1020]) ).
tff(c_411,plain,
( ( nil != '#skF_48' )
| ( nil != '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_388,c_398]) ).
tff(c_415,plain,
( ( nil != '#skF_50' )
| ( nil != '#skF_51' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_386,c_411]) ).
tff(c_443,plain,
'#skF_51' != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_425,c_425,c_415]) ).
tff(c_390,plain,
ssList('#skF_51'),
inference(cnfTransformation,[status(thm)],[f_1020]) ).
tff(c_330,plain,
! [U_1045] :
( ( hd(U_1045) = '#skF_46'(U_1045) )
| ( nil = U_1045 )
| ~ ssList(U_1045) ),
inference(cnfTransformation,[status(thm)],[f_769]) ).
tff(c_1083,plain,
! [U_1222] :
( ( hd(U_1222) = '#skF_46'(U_1222) )
| ( U_1222 = '#skF_50' )
| ~ ssList(U_1222) ),
inference(demodulation,[status(thm),theory(equality)],[c_425,c_330]) ).
tff(c_1164,plain,
( ( hd('#skF_51') = '#skF_46'('#skF_51') )
| ( '#skF_51' = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_390,c_1083]) ).
tff(c_1194,plain,
hd('#skF_51') = '#skF_46'('#skF_51'),
inference(negUnitSimplification,[status(thm)],[c_443,c_1164]) ).
tff(c_184,plain,
! [U_888] :
( ssItem(hd(U_888))
| ( nil = U_888 )
| ~ ssList(U_888) ),
inference(cnfTransformation,[status(thm)],[f_371]) ).
tff(c_629,plain,
! [U_888] :
( ssItem(hd(U_888))
| ( U_888 = '#skF_50' )
| ~ ssList(U_888) ),
inference(demodulation,[status(thm),theory(equality)],[c_425,c_184]) ).
tff(c_1198,plain,
( ssItem('#skF_46'('#skF_51'))
| ( '#skF_51' = '#skF_50' )
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_1194,c_629]) ).
tff(c_1202,plain,
( ssItem('#skF_46'('#skF_51'))
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_1198]) ).
tff(c_1203,plain,
ssItem('#skF_46'('#skF_51')),
inference(negUnitSimplification,[status(thm)],[c_443,c_1202]) ).
tff(c_334,plain,
! [U_1047] :
( ( tl(U_1047) = '#skF_47'(U_1047) )
| ( nil = U_1047 )
| ~ ssList(U_1047) ),
inference(cnfTransformation,[status(thm)],[f_779]) ).
tff(c_929,plain,
! [U_1219] :
( ( tl(U_1219) = '#skF_47'(U_1219) )
| ( U_1219 = '#skF_50' )
| ~ ssList(U_1219) ),
inference(demodulation,[status(thm),theory(equality)],[c_425,c_334]) ).
tff(c_1007,plain,
( ( tl('#skF_51') = '#skF_47'('#skF_51') )
| ( '#skF_51' = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_390,c_929]) ).
tff(c_1036,plain,
tl('#skF_51') = '#skF_47'('#skF_51'),
inference(negUnitSimplification,[status(thm)],[c_443,c_1007]) ).
tff(c_188,plain,
! [U_892] :
( ssList(tl(U_892))
| ( nil = U_892 )
| ~ ssList(U_892) ),
inference(cnfTransformation,[status(thm)],[f_385]) ).
tff(c_619,plain,
! [U_892] :
( ssList(tl(U_892))
| ( U_892 = '#skF_50' )
| ~ ssList(U_892) ),
inference(demodulation,[status(thm),theory(equality)],[c_425,c_188]) ).
tff(c_1040,plain,
( ssList('#skF_47'('#skF_51'))
| ( '#skF_51' = '#skF_50' )
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_1036,c_619]) ).
tff(c_1044,plain,
( ssList('#skF_47'('#skF_51'))
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_1040]) ).
tff(c_1045,plain,
ssList('#skF_47'('#skF_51')),
inference(negUnitSimplification,[status(thm)],[c_443,c_1044]) ).
tff(c_340,plain,
! [U_1052] :
( ( cons(hd(U_1052),tl(U_1052)) = U_1052 )
| ( nil = U_1052 )
| ~ ssList(U_1052) ),
inference(cnfTransformation,[status(thm)],[f_803]) ).
tff(c_2834,plain,
! [U_1308] :
( ( cons(hd(U_1308),tl(U_1308)) = U_1308 )
| ( U_1308 = '#skF_50' )
| ~ ssList(U_1308) ),
inference(demodulation,[status(thm),theory(equality)],[c_425,c_340]) ).
tff(c_2871,plain,
( ( cons('#skF_46'('#skF_51'),tl('#skF_51')) = '#skF_51' )
| ( '#skF_51' = '#skF_50' )
| ~ ssList('#skF_51') ),
inference(superposition,[status(thm),theory(equality)],[c_1194,c_2834]) ).
tff(c_2886,plain,
( ( cons('#skF_46'('#skF_51'),'#skF_47'('#skF_51')) = '#skF_51' )
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_390,c_1036,c_2871]) ).
tff(c_2887,plain,
cons('#skF_46'('#skF_51'),'#skF_47'('#skF_51')) = '#skF_51',
inference(negUnitSimplification,[status(thm)],[c_443,c_2886]) ).
tff(c_226,plain,
! [V_945,W_947] :
( memberP(cons(V_945,W_947),V_945)
| ~ ssList(W_947)
| ~ ssItem(V_945) ),
inference(cnfTransformation,[status(thm)],[f_512]) ).
tff(c_2894,plain,
( memberP('#skF_51','#skF_46'('#skF_51'))
| ~ ssList('#skF_47'('#skF_51'))
| ~ ssItem('#skF_46'('#skF_51')) ),
inference(superposition,[status(thm),theory(equality)],[c_2887,c_226]) ).
tff(c_2911,plain,
memberP('#skF_51','#skF_46'('#skF_51')),
inference(demodulation,[status(thm),theory(equality)],[c_1203,c_1045,c_2894]) ).
tff(c_406,plain,
! [Y_1148] :
( ~ memberP('#skF_51',Y_1148)
| memberP('#skF_50',Y_1148)
| ~ ssItem(Y_1148) ),
inference(cnfTransformation,[status(thm)],[f_1020]) ).
tff(c_2925,plain,
( memberP('#skF_50','#skF_46'('#skF_51'))
| ~ ssItem('#skF_46'('#skF_51')) ),
inference(resolution,[status(thm)],[c_2911,c_406]) ).
tff(c_2928,plain,
memberP('#skF_50','#skF_46'('#skF_51')),
inference(demodulation,[status(thm),theory(equality)],[c_1203,c_2925]) ).
tff(c_228,plain,
! [U_948] :
( ~ memberP(nil,U_948)
| ~ ssItem(U_948) ),
inference(cnfTransformation,[status(thm)],[f_517]) ).
tff(c_462,plain,
! [U_948] :
( ~ memberP('#skF_50',U_948)
| ~ ssItem(U_948) ),
inference(demodulation,[status(thm),theory(equality)],[c_425,c_228]) ).
tff(c_2931,plain,
~ ssItem('#skF_46'('#skF_51')),
inference(resolution,[status(thm)],[c_2928,c_462]) ).
tff(c_2935,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_1203,c_2931]) ).
tff(c_2936,plain,
nil = '#skF_51',
inference(splitRight,[status(thm)],[c_414]) ).
tff(c_2937,plain,
nil != '#skF_50',
inference(splitRight,[status(thm)],[c_414]) ).
tff(c_2952,plain,
'#skF_51' != '#skF_50',
inference(demodulation,[status(thm),theory(equality)],[c_2936,c_2937]) ).
tff(c_392,plain,
ssList('#skF_50'),
inference(cnfTransformation,[status(thm)],[f_1020]) ).
tff(c_3315,plain,
! [U_1377] :
( ( hd(U_1377) = '#skF_46'(U_1377) )
| ( U_1377 = '#skF_51' )
| ~ ssList(U_1377) ),
inference(demodulation,[status(thm),theory(equality)],[c_2936,c_330]) ).
tff(c_3387,plain,
( ( hd('#skF_50') = '#skF_46'('#skF_50') )
| ( '#skF_51' = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_392,c_3315]) ).
tff(c_3416,plain,
hd('#skF_50') = '#skF_46'('#skF_50'),
inference(negUnitSimplification,[status(thm)],[c_2952,c_3387]) ).
tff(c_3085,plain,
! [U_888] :
( ssItem(hd(U_888))
| ( U_888 = '#skF_51' )
| ~ ssList(U_888) ),
inference(demodulation,[status(thm),theory(equality)],[c_2936,c_184]) ).
tff(c_3422,plain,
( ssItem('#skF_46'('#skF_50'))
| ( '#skF_51' = '#skF_50' )
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_3416,c_3085]) ).
tff(c_3426,plain,
( ssItem('#skF_46'('#skF_50'))
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_3422]) ).
tff(c_3427,plain,
ssItem('#skF_46'('#skF_50')),
inference(negUnitSimplification,[status(thm)],[c_2952,c_3426]) ).
tff(c_3696,plain,
! [U_1388] :
( ( tl(U_1388) = '#skF_47'(U_1388) )
| ( U_1388 = '#skF_51' )
| ~ ssList(U_1388) ),
inference(demodulation,[status(thm),theory(equality)],[c_2936,c_334]) ).
tff(c_3774,plain,
( ( tl('#skF_50') = '#skF_47'('#skF_50') )
| ( '#skF_51' = '#skF_50' ) ),
inference(resolution,[status(thm)],[c_392,c_3696]) ).
tff(c_3805,plain,
tl('#skF_50') = '#skF_47'('#skF_50'),
inference(negUnitSimplification,[status(thm)],[c_2952,c_3774]) ).
tff(c_3088,plain,
! [U_892] :
( ssList(tl(U_892))
| ( U_892 = '#skF_51' )
| ~ ssList(U_892) ),
inference(demodulation,[status(thm),theory(equality)],[c_2936,c_188]) ).
tff(c_3811,plain,
( ssList('#skF_47'('#skF_50'))
| ( '#skF_51' = '#skF_50' )
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_3805,c_3088]) ).
tff(c_3815,plain,
( ssList('#skF_47'('#skF_50'))
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_3811]) ).
tff(c_3816,plain,
ssList('#skF_47'('#skF_50')),
inference(negUnitSimplification,[status(thm)],[c_2952,c_3815]) ).
tff(c_5664,plain,
! [U_1483] :
( ( cons(hd(U_1483),tl(U_1483)) = U_1483 )
| ( U_1483 = '#skF_51' )
| ~ ssList(U_1483) ),
inference(demodulation,[status(thm),theory(equality)],[c_2936,c_340]) ).
tff(c_5701,plain,
( ( cons(hd('#skF_50'),'#skF_47'('#skF_50')) = '#skF_50' )
| ( '#skF_51' = '#skF_50' )
| ~ ssList('#skF_50') ),
inference(superposition,[status(thm),theory(equality)],[c_3805,c_5664]) ).
tff(c_5716,plain,
( ( cons('#skF_46'('#skF_50'),'#skF_47'('#skF_50')) = '#skF_50' )
| ( '#skF_51' = '#skF_50' ) ),
inference(demodulation,[status(thm),theory(equality)],[c_392,c_3416,c_5701]) ).
tff(c_5717,plain,
cons('#skF_46'('#skF_50'),'#skF_47'('#skF_50')) = '#skF_50',
inference(negUnitSimplification,[status(thm)],[c_2952,c_5716]) ).
tff(c_5730,plain,
( memberP('#skF_50','#skF_46'('#skF_50'))
| ~ ssList('#skF_47'('#skF_50'))
| ~ ssItem('#skF_46'('#skF_50')) ),
inference(superposition,[status(thm),theory(equality)],[c_5717,c_226]) ).
tff(c_5745,plain,
memberP('#skF_50','#skF_46'('#skF_50')),
inference(demodulation,[status(thm),theory(equality)],[c_3427,c_3816,c_5730]) ).
tff(c_408,plain,
! [Y_1148] :
( ~ memberP('#skF_50',Y_1148)
| memberP('#skF_51',Y_1148)
| ~ ssItem(Y_1148) ),
inference(cnfTransformation,[status(thm)],[f_1020]) ).
tff(c_2976,plain,
! [U_1322] :
( ~ memberP('#skF_51',U_1322)
| ~ ssItem(U_1322) ),
inference(demodulation,[status(thm),theory(equality)],[c_2936,c_228]) ).
tff(c_2980,plain,
! [Y_1148] :
( ~ memberP('#skF_50',Y_1148)
| ~ ssItem(Y_1148) ),
inference(resolution,[status(thm)],[c_408,c_2976]) ).
tff(c_5755,plain,
~ ssItem('#skF_46'('#skF_50')),
inference(resolution,[status(thm)],[c_5745,c_2980]) ).
tff(c_5759,plain,
$false,
inference(demodulation,[status(thm),theory(equality)],[c_3427,c_5755]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.13 % Problem : SWC025+1 : TPTP v8.1.2. Released v2.4.0.
% 0.00/0.14 % Command : java -Dfile.encoding=UTF-8 -Xms512M -Xmx4G -Xss10M -jar /export/starexec/sandbox2/solver/bin/beagle.jar -auto -q -proof -print tff -smtsolver /export/starexec/sandbox2/solver/bin/cvc4-1.4-x86_64-linux-opt -liasolver cooper -t %d %s
% 0.15/0.36 % Computer : n025.cluster.edu
% 0.15/0.36 % Model : x86_64 x86_64
% 0.15/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.36 % Memory : 8042.1875MB
% 0.15/0.36 % OS : Linux 3.10.0-693.el7.x86_64
% 0.15/0.36 % CPULimit : 300
% 0.15/0.36 % WCLimit : 300
% 0.15/0.36 % DateTime : Thu Aug 3 21:51:35 EDT 2023
% 0.15/0.36 % CPUTime :
% 9.94/3.26 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 10.18/3.27
% 10.18/3.27 % SZS output start CNFRefutation for /export/starexec/sandbox2/benchmark/theBenchmark.p
% See solution above
% 10.18/3.30
% 10.18/3.30 Inference rules
% 10.18/3.30 ----------------------
% 10.18/3.30 #Ref : 0
% 10.18/3.30 #Sup : 1216
% 10.18/3.30 #Fact : 0
% 10.18/3.30 #Define : 0
% 10.18/3.30 #Split : 21
% 10.18/3.30 #Chain : 0
% 10.18/3.30 #Close : 0
% 10.18/3.30
% 10.18/3.30 Ordering : KBO
% 10.18/3.30
% 10.18/3.30 Simplification rules
% 10.18/3.30 ----------------------
% 10.18/3.30 #Subsume : 118
% 10.18/3.30 #Demod : 464
% 10.18/3.30 #Tautology : 258
% 10.18/3.30 #SimpNegUnit : 45
% 10.18/3.30 #BackRed : 42
% 10.18/3.30
% 10.18/3.30 #Partial instantiations: 0
% 10.18/3.30 #Strategies tried : 1
% 10.18/3.30
% 10.18/3.30 Timing (in seconds)
% 10.18/3.30 ----------------------
% 10.18/3.31 Preprocessing : 0.89
% 10.18/3.31 Parsing : 0.41
% 10.18/3.31 CNF conversion : 0.11
% 10.18/3.31 Main loop : 1.33
% 10.18/3.31 Inferencing : 0.44
% 10.18/3.31 Reduction : 0.40
% 10.18/3.31 Demodulation : 0.27
% 10.18/3.31 BG Simplification : 0.09
% 10.18/3.31 Subsumption : 0.28
% 10.18/3.31 Abstraction : 0.05
% 10.18/3.31 MUC search : 0.00
% 10.18/3.31 Cooper : 0.00
% 10.18/3.31 Total : 2.28
% 10.18/3.31 Index Insertion : 0.00
% 10.18/3.31 Index Deletion : 0.00
% 10.18/3.31 Index Matching : 0.00
% 10.18/3.31 BG Taut test : 0.00
%------------------------------------------------------------------------------